I am refreshing - or rather building up from scratch =) - my knowledge about the proper usage of commas in the English language. I would like if you could take a look at the subsequent examples and check if they are correct.
Due to/Since/Because ...., we can...
A comma because the first clause is an adverbial "clause of reason". If the dependent clause would stay behind the main clause, then there would be no need for a comma.
A converges to B, locally uniformly.
Here, I am not sure. It looks better with a comma for me, but I believe, there is no need for a comma since the second clause is essential ?
We saw the key which we will need later on the roof.
Here, I am not sure. Does the comma-usage here just depends on the essentiality of the clause introduced by which? The car which had the most people in it weights the most. -> essential clause The car, which looked very nice, weights 1200 Kg.-> non-essential clause
"Thus/Therefore/Hence" at the beginning of a sentence: Comma right after the word? I think, no.
It states that if ..., then ....